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Finding the Fourth Proportional to 150,868, 226,302 and 38,548.47

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Solution

The fourth proportional to 150,868, 226,302 and 38,548.47 is: 57,822.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,868 : 226,302 = 38,548.47 : x
  2. Step 2: Convert to fraction form
    150,868/226,302 = 38,548.47/x
  3. Step 3: Cross multiply
    150,868x = 226,302 × 38,548.47
  4. Step 4: Simplify right side
    150,868x = 8,723,595,857.94
  5. Step 5: Solve for x
    x = 8,723,595,857.94/150,868
  6. Step 6: Final answer
    x = 57,822.71

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.